Some results on factorization of monoids

Zsolt Adam Balogh; Tamar Mesablishvili

doi:10.1142/S0219498824501184

Some results on factorization of monoids

Zsolt Adam Balogh, Tamar Mesablishvili

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of the so-called descent 1-cocycles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-Abelian cohomology of monoids is analyzed. Some applications of semi-direct product of monoids are given.

Original language	English
Article number	2450118
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498824501184
Publication status	Accepted/In press - 2023

Keywords

descent cohomology
factorization
Monoid
monoid action

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498824501184

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AB - Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of the so-called descent 1-cocycles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-Abelian cohomology of monoids is analyzed. Some applications of semi-direct product of monoids are given.

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Some results on factorization of monoids

Abstract

Keywords

ASJC Scopus subject areas

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